Pith Number

pith:GMEAPTTB

pith:2015:GMEAPTTBDQJMRNYTWWY72AJZFE

not attested not anchored not stored refs pending

Some combinatorial number theory problems over finite valuation rings

Le Anh Vinh, Pham Van Thang

arxiv:1510.07218 v2 · 2015-10-25 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMEAPTTBDQJMRNYTWWY72AJZFE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:57:42.722595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330807ce611c12c8b713b5b1fd01392908d8182cc55b159df556f70dbf1ae218

Aliases

arxiv: 1510.07218 · arxiv_version: 1510.07218v2 · doi: 10.48550/arxiv.1510.07218 · pith_short_12: GMEAPTTBDQJM · pith_short_16: GMEAPTTBDQJMRNYT · pith_short_8: GMEAPTTB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GMEAPTTBDQJMRNYTWWY72AJZFE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 330807ce611c12c8b713b5b1fd01392908d8182cc55b159df556f70dbf1ae218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15045f9dfa7ece44d7b49099396422cc6039c73bd52a81b3c92cf8a6728cf739",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-25T08:26:33Z",
    "title_canon_sha256": "d84062577215aec488467af7e4f50b4c941ee3ee42a8505c1f5315aafacfa9a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07218",
    "kind": "arxiv",
    "version": 2
  }
}